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arXiv · 1502.05907

Asymptotically free scaling solutions in nonabelian Higgs models

Holger Gies·Luca Zambelli
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Abstract

We construct asymptotically free renormalization group trajectories for the generic nonabelian Higgs model in four-dimensional spacetime. These ultraviolet-complete trajectories become visible by generalizing the renormalization/boundary conditions in the definition of the correlation functions of the theory. Though they are accessible in a controlled weak-coupling analysis, these trajectories originate from threshold phenomena which are missed in a conventional perturbative analysis relying on the deep Euclidean region. We identify a candidate three-parameter family of renormalization group trajectories interconnecting the asymptotically free ultraviolet regime with a Higgs phase in the low-energy limit. We provide estimates of their low-energy properties in the light of a possible application to the standard model Higgs sector. Finally, we find a two-parameter subclass of asymptotically free Coleman-Weinberg-type trajectories that do not suffer from a naturalness problem.

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Holger Gies, Luca Zambelli. 2015-02-20. Asymptotically free scaling solutions in nonabelian Higgs models. https://doi.org/10.1103/physrevd.92.025016

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